Re: How many different unit fractions are lessorequal than all unit fractions?

On 10.10.2024 13:26, joes wrote:

Am Wed, 09 Oct 2024 15:35:10 +0200 schrieb WM:

All endsegments are infinite.

Then their intersection is infinite too.

We are, again, not talking about an element of the sequence, which
has a natural index, contains infinitely many successors and is
missing a finite number of predecessors.

I am talking about such endsegments. Their intersection is infinite.

Which intersection?

Their intersection.

Such an intersection is itself part of the sequence.

Of course.

What about the intersection of all infinitely many segments?

It is empty.

 

What we are talking about is the, pardon, limit of whatever function.

The limit-endsegment is empty.

Why?

Because every n has become an index and then is lost.

It is impossible to use up an infinity.

Then it is impossible to enumerate all fractions.

And what if we intersect infinitely many?

Then infinitely many indices are applied and there are endsegments which have lost them.
Regards, WM